Results 11 to 20 of about 72,144 (311)

Practical challenges in data‐driven interpolation: Dealing with noise, enforcing stability, and computing realizations

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView., 2023
Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley   +1 more source

On a certain class of arithmetic functions [PDF]

open access: yesMathematica Bohemica, 2017
A homothetic arithmetic function of ratio $K$ is a function $f \mathbb{N}\rightarrow R$ such that $f(Kn)=f(n)$ for every $n\in\mathbb{N}$. Periodic arithmetic funtions are always homothetic, while the converse is not true in general.
Antonio M. Oller-Marcén
doaj   +1 more source

Exponential sums involving the divisor function over arithmetic progressions

open access: yesAIMS Mathematics, 2023
Let $ \phi(x) $ be a smooth function supported on $ [1, 2] $ with derivatives bounded by $ \phi^{(j)}(x)\ll 1 $ and $ d_3(n) $ be the number of ways to write $ n $ as a product of three factors. We get the asymptotic formula for the nonlinear exponential
Rui Zhang , Yang Li, Xiaofei Yan
doaj   +1 more source

Real-time numerical system convertor via two-dimensional WS2-based memristive device

open access: yesFrontiers in Computational Neuroscience, 2022
The intriguing properties of two-dimensional (2D) transition metal dichalcogenides (TMDCs) enable the exploration of new electronic device architectures, particularly the emerging memristive devices for in-memory computing applications. Implementation of
Xing Xin   +10 more
doaj   +1 more source

Multidimensional local theorem in the Knopfmachers semigroup

open access: yesLietuvos Matematikos Rinkinys, 2007
In the presentpaper a multidimensionallocal theorem for arithmetic functions definedin the Knopfmachers semigroup G is obtained.
Rimantas Skrabutėnas
doaj   +1 more source

Further Results on a Curious Arithmetic Function

open access: yesJournal of Mathematics, 2020
Let p be an odd prime number and n be a positive integer. Let vpn, N∗, and Q+ denote the p-adic valuation of the integer n, the set of positive integers, and the set of positive rational numbers, respectively.
Long Chen, Kaimin Cheng, Tingting Wang
doaj   +1 more source

MATHEMATICAL ISSUES IN TWO-DIMENSIONAL ARITHMETIC FOR ANALYZE STUDENTS' METACOGNITION AND CREATIVE THINKING SKILLS

open access: yesAlifmatika, 2021
This study aimed to analyze the level of students' metacognition skills and creative thinking in the generalization of a two-dimensional arithmetic sequence. A qualitative descriptive is a scientific approach used in this study.
Mohammad Tohir, Muhasshanah Muhasshanah
doaj   +1 more source

Non‐interactive integrated membership authentication and group arithmetic computation output for 5G sensor networks

open access: yesIET Communications, 2021
Group‐oriented applications show its potential ability in the next generation of wireless sensor networks (5G WSNs), which have the particularity of being heterogeneous and so have different capabilities in terms of storage, computing, communicating and ...
Chingfang Hsu   +4 more
doaj   +1 more source

Research on the security of national secret algorithm based compute first networking

open access: yesDianxin kexue, 2023
With the promotion of national secret algorithm, in-depth research on the arithmetic network was carried out, a more efficient and reasonable security scheme for the arithmetic network was proposed, ensuring the data security and privacy of the ...
Jie PAN   +3 more
doaj   +2 more sources

Divisibility of arithmetic functions [PDF]

open access: yesPacific Journal of Mathematics, 1984
A derivative-like operator on the Dirichlet ring of arithmetic functions is used to develop formulas for the greatest common divisor of certain arithmetic functions. It is conjectured that formulas of this type hold more generally.
openaire   +2 more sources

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